6y-12=5y+9

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Solution for 6y-12=5y+9 equation:


Simplifying
6y + -12 = 5y + 9

Reorder the terms:
-12 + 6y = 5y + 9

Reorder the terms:
-12 + 6y = 9 + 5y

Solving
-12 + 6y = 9 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
-12 + 6y + -5y = 9 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-12 + 1y = 9 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + 1y = 9 + 0
-12 + 1y = 9

Add '12' to each side of the equation.
-12 + 12 + 1y = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 1y = 9 + 12
1y = 9 + 12

Combine like terms: 9 + 12 = 21
1y = 21

Divide each side by '1'.
y = 21

Simplifying
y = 21

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